Free Printable WorksheetMathGrade 4Math Curriculum4.G.A.2

4.158 Use a Hierarchy of Quadrilaterals to Name Shapes Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 4 Math worksheet provides structured practice on 4.158 Use a Hierarchy of Quadrilaterals to Name Shapes. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Given a quadrilateral type, select which other categories it also belongs to (for example, a square is a rectangle). (CCSS 4.G.A.2)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 4

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 4.158 Use a Hierarchy of Quadrilaterals to Name Shapes skill assessments:

Problem 1Difficulty: Mastery
Four cards are square, rectangle, rhombus, and trapezoid with exactly one pair of parallel sides. Which sorting rule is correct?
AOnly the square is a quadrilateral; the rectangle and rhombus are triangles.
BAll four are rectangles because all have four sides.
CThe trapezoid is a parallelogram, and the square is not a rectangle.
DAll four are quadrilaterals; square, rectangle, and rhombus are parallelograms; the square is both a rectangle and a rhombus.
Solution & Explanation:All four cards have four sides. Square, rectangle, and rhombus have two pairs of parallel sides, and the square also meets both rectangle and rhombus rules.
Problem 2Difficulty: Mastery
A student argues, Since every square is a rectangle, every rectangle must be a square. What is the error?
ASquares do not have right angles.
BRectangles have only three sides.
CReversing a true hierarchy statement does not always make a true statement.
DQuadrilaterals are never polygons.
Solution & Explanation:A category can include more shapes than one special type. All squares are rectangles, but rectangles can have unequal side lengths.
Problem 3Difficulty: Mastery
Using the exactly-one-pair rule for trapezoids, which statement is correct?
AA trapezoid is always a square.
BA trapezoid is a quadrilateral, but it is not a parallelogram.
CA trapezoid is always a rectangle.
DA trapezoid has no sides.
Solution & Explanation:A trapezoid has four sides, so it is a quadrilateral. With exactly one pair of parallel sides, it is not a parallelogram.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 4 Math students. It aligns with educational standard 4.G.A.2 (Primary standard selected for prompt fields in this prompt cell: CCSS 4.G.A.2. Skill statement in this prompt cell: Given a quadrilateral type, select which other categories it also belongs to (for example, a square is a rectangle). Associated standards listed with this skill in this prompt cell: CCSS 4.G.A.2. Use this prompt-provided wording as the supporting standard description for this workflow.).

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